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Finding the Fourth Proportional to 16,186.80, 22,311.54 and 13,999.80

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Solution

The fourth proportional to 16,186.80, 22,311.54 and 13,999.80 is: 19,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.80 : 22,311.54 = 13,999.80 : x
  2. Step 2: Convert to fraction form
    16,186.80/22,311.54 = 13,999.80/x
  3. Step 3: Cross multiply
    16,186.80x = 22,311.54 × 13,999.80
  4. Step 4: Simplify right side
    16,186.80x = 312,357,097.69
  5. Step 5: Solve for x
    x = 312,357,097.69/16,186.80
  6. Step 6: Final answer
    x = 19,297.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.